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Question

The moment p(in kgms-1) of a particle is varying with time t(in s) as p=2+3t2. The force acting on the particle at t=3s will be


A

9N

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B

54N

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C

18N

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D

15N

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Solution

The correct option is C

18N


Step 1: Given data

Momentum, p=2+3t2

We have to find force on the particle at t=3s

Step 2: Formula used and calculation

We know,

F=dpdtF=d(2+3t2)dtF=6t

since, t=3s

F=6×3F=18N

Force on the particle at t=3s is 18N

Option C is correct


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